Entropy relations and bounds of BTZ black hole in gravity's rainbow

Liang, Tairan; Tang, Wei; Xu, Wei

doi:10.1142/s0218271819501098

Cited by 3 publications

(3 citation statements)

References 80 publications

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“…It has been also shown that the thermodynamics of BTZ BHs can be deformed in the frame of gravity's rainbow, however, the Gibbs free energy remains unchanged [44]. The gravity of the rainbow has been utilized to study the BH heat capacity and phase transition of BTZ BHs [45,46]. There are also some other extensions of the BTZ BHs that are obtained as alternative theories of gravity for example the Noether symmetries of the rotating BTZ BH in f (R) gravitation has been employed to create new BTZ-type solutions [47].…”

Section: Introductionmentioning

confidence: 99%

New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity

Nashed

Sheykhi

2021

Preprint

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We construct two new classes of analytical solutions in three-dimensional spacetime and in the framework of f (R) gravity. The first class represents a non-rotating black hole (BH) while the second class corresponds to a rotating BH solution. The Ricci scalar of these BH solutions have non-trivial values and are described by the gravitational mass M , two angular momentums J and J1, and an effective cosmological constant Λ ef f . Moreover, these solutions do not restore the 3-dimensional Bañados-Teitelboim-Zanelli (BTZ) solutions of general relativity (GR) which implies the novelty of the obtained BHs in f (R) gravity. Depending on the range of the parameters, these solutions admit rotating/non-rotating asymptotically AdS/dS BH interpretation in spite that the field equation of f (R) has no cosmological constant. Interestingly enough, we observe that in contrast to BTZ solution which has only causal singularity and scalar invariants are constant everywhere, the scalar invariants of these solutions indicate strong singularity for the spacetime. Furthermore, we construct the forms of the f (R) function showing that they behave as polynomial functions. Finally, we show that the obtained solutions are stable from the viewpoint that heat capacity has a positive value, and also from the condition of Ostrogradski which state that the second derivative of f (R) should have a positive value.

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Section: Introductionmentioning

confidence: 99%

New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity

Nashed

Sheykhi

2021

Preprint

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“…Gravity's rainbow has been also exploited to study the black hole heat capacity and phase transition of BTZ black holes in Refs. [42,43]. There are also some other extensions of the BTZ black holes that are derived in alternative theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

Adiabatic analysis of the rotating BTZ black hole

2021

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In this paper we analyze some interesting features of the thermodynamics of the rotating BTZ black hole from the Carathéodory axiomatic postulate, for which, we exploit the appropriate Pfaffian form. The allowed adiabatic transformations are then obtained by solving the corresponding Cauchy problem, and are studied accordingly. Furthermore, we discuss the implications of our approach, regarding the second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.

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“…The rainbow gravity has been also exploited to study the black hole heat capacity and phase transition of BTZ black holes in Refs. [40,41]. There are also some other extensions of the BTZ black holes that are derived in alternative theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

Adiabatic analysis of the rotating BTZ black hole

Fathi,

Lepe,

Villanueva

2021

Preprint

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In this paper we analyze some interesting features of the thermodynamics of the rotating BTZ black hole from the Carathéodory axiomatic postulate, for which, we exploit the appropriate Pfaffian form. The allowed adiabatic transformations are then obtained by solving the corresponding Cauchy problem, and are studied accordingly. Furthermore, we discuss the implications of our approach, regarding the the second and third laws of black hole thermodynamics. In particular, the merging of two extremal black holes is studied in detail.

show abstract

Entropy relations and bounds of BTZ black hole in gravity's rainbow

Cited by 3 publications

References 80 publications

New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity

New black hole solutions in three-dimensional $\mathit{f(R)}$ gravity

Adiabatic analysis of the rotating BTZ black hole

Adiabatic analysis of the rotating BTZ black hole

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